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Least Common Multiple (LCM) of 147 and 81

The least common multiple (LCM) of 147 and 81 is 3969.

What is the Least Common Multiple (LCM)?

The LCM of two integers is the smallest positive integer that is divisible by both numbers. It is often used to find common denominators and solve problems involving periodic events.

Formula for LCM

The LCM of two numbers can be calculated using their GCD:

LCM(a, b) = |a × b| ÷ GCD(a, b)

How to Calculate the LCM of 147 and 81?

First, calculate the GCD of 147 and 81 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 147 ÷ 81 = 1 remainder 66
2 81 ÷ 66 = 1 remainder 15
3 66 ÷ 15 = 4 remainder 6
4 15 ÷ 6 = 2 remainder 3
5 6 ÷ 3 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
172 and 579804
156 and 1321716
105 and 14915645
194 and 14413968
119 and 647616

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